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Finding the Third Proportional to 19,552 and 38,126

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Solution

The third proportional to 19,552 and 38,126 is: 74,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,552 : 38,126 = 38,126 : x
  2. Step 2: Convert to fraction form
    19,552/38,126 = 38,126/x
  3. Step 3: Cross multiply
    19,552x = 38,126 × 38,126
  4. Step 4: Simplify right side
    19,552x = 1,453,591,876
  5. Step 5: Solve for x
    x = 1,453,591,876/19,552
  6. Step 6: Final answer
    x = 74,344.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.